Topologically-algebraic structure functors full reflective or coreflective restrictions of semitopological functors

Manfred B. Wischnewsky

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1979)

  • Volume: 20, Issue: 3, page 311-330
  • ISSN: 1245-530X

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Wischnewsky, Manfred B.. "Topologically-algebraic structure functors full reflective or coreflective restrictions of semitopological functors." Cahiers de Topologie et Géométrie Différentielle Catégoriques 20.3 (1979): 311-330. <http://eudml.org/doc/91219>.

@article{Wischnewsky1979,
author = {Wischnewsky, Manfred B.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {semi-final extension; semi-initial coextension; topologically-algebraic structure functor; semi-topological functor},
language = {eng},
number = {3},
pages = {311-330},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Topologically-algebraic structure functors full reflective or coreflective restrictions of semitopological functors},
url = {http://eudml.org/doc/91219},
volume = {20},
year = {1979},
}

TY - JOUR
AU - Wischnewsky, Manfred B.
TI - Topologically-algebraic structure functors full reflective or coreflective restrictions of semitopological functors
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1979
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 20
IS - 3
SP - 311
EP - 330
LA - eng
KW - semi-final extension; semi-initial coextension; topologically-algebraic structure functor; semi-topological functor
UR - http://eudml.org/doc/91219
ER -

References

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  2. 2 Börger R. & Tholen, W., Cantors Diagonalprinzip für Kategorien, Preprint, Fernuniversität Hagen, 1977. Zbl0363.04002
  3. 3 Börger, R. & Tholen, W., Is any semitopological functor topologically algebraic ? Preprint, Fernuniversität Hagen, 1977. 
  4. 4 Gabriel, P. & Ulmer, F., Lokal präsentierbare Kategorien, Lecture Notes in Math.221, Springer (1971). Zbl0225.18004MR327863
  5. 5 Herrlich, H., Topological functors, Gen. Topo. & Appl.4 (1974), 125 - 142. Zbl0288.54003MR343226
  6. 6 Herrlich, H., Nakagawa, R., Strecker, E. & Titcomb, T., Topologically-algebraic and semitopological functors, Preprint, Kansas Ste Univ.Manhattan1977. Zbl0435.18002
  7. 7 Herrlich, H. & Strecker, G., Semi-universal maps and universal initial completions, Preprint, Kansas Ste Univ., Manhattan, 1977. Zbl0379.18008
  8. 8 Hoffmann, R.-E., Semi-identifying lifts and a generalization of the duality theorem for topological functors, Math. Nachr.74 (1976), 295-307. Zbl0345.18002MR428256
  9. 9 Hoffmann, R.-E., Topo logical functors admitting generalized Cauchy-completions, Lecture Notes in Math.540, Springer (1976), 286-344. Zbl0421.18002MR644648
  10. 10 Hoffmann, R.-E., Full reflective restrictions of topological functors, Math. Coll. Univ.Cape Town, Preprint in Math. Arbeitspapers7, Univ. Bremen (1976), 98 - 119. Zbl0409.18002MR491889
  11. 11 Hong, Y.H., Studies on categories of universal topological algebras, Thesis, Mac Master Univ., Hamilton, 1974. 
  12. 12 Roberts, J.E., A characterization of topological functors, J. of Algebra8 (1968), 131- 193. Zbl0172.30904MR224674
  13. 13 Tholen, W., Semitopological functors, I, J. Pure & Appl. Algebra15 (1979),53-73. Zbl0413.18001MR532963
  14. 14 Tholen, W. & Wischnewsky, M.B., Semitopological functors II, Preprint Bremen, Hagen, 1977, J. Pure & Appl. Algebra ( to appear ). Zbl0413.18002
  15. 15 Tholen, W. & Wischnewsky, M.B., Semitopological functors, III: Lifting of mo nads and adjoint functors, Seminarberichte Fernuniv. Hagen4 (1978), 129. 
  16. 16 Tholen, W., Konkrete Funktoren, Habilitationschrift, Fernuniv. Hagen, 1978. 
  17. 17 Wischnewsky, M.B., A lifting theorem for right adjoints, PreprintUniv. Bremen1976, Cahiers Topo . et Géom. Diff. (to appear). Zbl0409.18003MR528344
  18. 18 Wischnewsky, M.B., A generalized duality theorem for structure functors, Preprint, Univ. Bremen1977. Zbl0445.18002MR569343
  19. 19 Wischnewsky, M.B., Existence and representation theorems for structure functors, Preprint, Univ. Bremen, 1977. Zbl0422.18001MR569344
  20. 20 Wolff, H., External characterization o f semitopological functors, Handwritten manuscript, Univ. of Toledo, 1977. 
  21. 21 Wyler, O., Top categories and categorical Topology, Gen. Topo. & Appl.1 (1971), 17-28. Zbl0215.51502MR282324

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